Prove the Following Statement by Mathematical Induction $3+7+11+\ldots+(4 n-1)=n(2 n+1)$

question 53

Essay

Prove the following statement by mathematical induction. $3+7+11+\ldots+(4 n-1)=n(2 n+1)$

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Definitions:

Diversity Mature Organization

An organization that has effectively integrated diversity and inclusion into its culture and business practices.

Glass Ceiling

A metaphorical barrier preventing advancement beyond a certain level, especially affecting women and minorities in professional contexts.

Bottom-Up Change

An approach to change management where the initiative for change comes from employees at all levels rather than being imposed from higher management.

Organizational Levels

The layers of authority and responsibility in an organization, typically including top-level management, middle-level management, and operational-level management.